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Finding the Fourth Proportional to 12,399.60, 17,110.98 and 7,683.78

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Solution

The fourth proportional to 12,399.60, 17,110.98 and 7,683.78 is: 10,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.60 : 17,110.98 = 7,683.78 : x
  2. Step 2: Convert to fraction form
    12,399.60/17,110.98 = 7,683.78/x
  3. Step 3: Cross multiply
    12,399.60x = 17,110.98 × 7,683.78
  4. Step 4: Simplify right side
    12,399.60x = 131,477,005.90
  5. Step 5: Solve for x
    x = 131,477,005.90/12,399.60
  6. Step 6: Final answer
    x = 10,603.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.